The second midterm will have a take-home section and an in-class section. Some topics may appear in both parts. You are allowed a page of notes, front and back of a regular 8.5" x 11" piece of paper.

**Homework 6**

**Interest rates and compounding**

Half-life of isotopes

Paying back loans: Amount over life of loan

Playing back loans: Amount per month

Maximum amount you can get as a loan given monthly payment, interest rate and length of the loan

**Homework 7**

Triangles defined by angles

Classification system #1: Largest angle – obtuse, right or acute

Classification system #2: Relations between angles – scalene, isosceles, or equilateral

Triangles defined by side lengths

The triangle inequality

Both classifications by side lengths: Variations on the Pythagorean Theorem

Triangles defined by three points on the plane, one of the points (0, 0)

Distance between points

Both classifications by three points (distance is key for both)

**Homework 8**

Three points on the plane where none is (0, 0)

Finding the slope (

*m*) between two points (

*x*1,

*y*1) and (

*x*2,

*y*2)

What it means when the slope is undefined: the formula

*x*=

*k*, some constant value

Point slope formula:

*y*–

*y*1 =

*m*(

*x*–

*x*1)

*x*and

*y*will remain variables

*m*,

*x*1 and

*y*1 will become constants

Slope-intercept:

*y*=

*mx*+

*b*

**Homework 9**

Tilings of the plane

Interior angle sum for a polygon with

*n*sides (

*n*-gon): sum = 180(

*n*– 2)°

Regular angle sum for a polygon with

*n*sides (

*n*-gon): = 180(

*n*– 2)°/

*n*= (180–360/

*n*)°

Coin problems

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